Compact perturbations of -accretive operators in Banach spaces

Author:
Claudio H. Morales

Journal:
Proc. Amer. Math. Soc. **134** (2006), 365-370

MSC (2000):
Primary 47H10

DOI:
https://doi.org/10.1090/S0002-9939-05-08343-7

Published electronically:
September 20, 2005

MathSciNet review:
2176003

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper continues a discussion that arose twenty years ago, concerning the perturbation of an -accretive operator by a compact mapping in Banach spaces. Indeed, if is -accretive and is compact, then the boundary condition for and implies that is in the closure of the range of . Perhaps the most interesting aspect of this result is the proof itself, which does not appeal to the classical degree theory argument used for this type of problem.

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Additional Information

**Claudio H. Morales**

Affiliation:
Department of Mathematics, University of Alabama in Huntsville, Huntsville, Alabama 35899

DOI:
https://doi.org/10.1090/S0002-9939-05-08343-7

Keywords:
$m$-accretive operators,
pseudo-contractive and compact operators

Received by editor(s):
February 5, 2004

Published electronically:
September 20, 2005

Communicated by:
Jonathan M. Borwein

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.